Masteries

Offense:
9

Defense:
0

Utility:
21

Ryze, The Rogue Mage

He is one of the few Mage Carries in League of Legends, all he needs is alot of AP and Mana to dish out some damage. For you to be a succesive Carry Early, Mid and Late game you will need to read a few guides.

Pros:
Best Nuker in the game 1v1
Overload - Scales good with Ap & mana.
Rune prison -Able to Snare target.
Spell Flux - Can use him self as a target.
Desperate Power - Good Ap & AoE Nukes.

Cons:
Easily killed.
First Targeted in Ganks.
Useless if Silenced, stunned or disoriented.

Mejai's Soulstealer is not efficient unless you are having a good game, so getting a few early game kills will prove its worth it, say around 2-6 but you never know. I rarely get Zhonya's Ring but if you got around 10 kills you might get it depending on how well you are able to farm both Early, Mid & Late game.

EDIT: -Steps to early, mid and late game may be added.
-Techniques, Spell Combos & tricks may be added.
-How & when to approach your victim may be added.
-Solomid & 2v2 lanes may be added.